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Finding the Fourth Proportional to 264,845.20, 397,267.80 and 189,806.80

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Solution

The fourth proportional to 264,845.20, 397,267.80 and 189,806.80 is: 284,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,845.20 : 397,267.80 = 189,806.80 : x
  2. Step 2: Convert to fraction form
    264,845.20/397,267.80 = 189,806.80/x
  3. Step 3: Cross multiply
    264,845.20x = 397,267.80 × 189,806.80
  4. Step 4: Simplify right side
    264,845.20x = 75,404,129,861.04
  5. Step 5: Solve for x
    x = 75,404,129,861.04/264,845.20
  6. Step 6: Final answer
    x = 284,710.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.